Free Printable System of equations

1.

If 2x + 5y = 21 and x + y = 3, then what is the value of x?

a)

-5

b)

-2

c)

2

d)

5

2.

If 2x + 5y = -1 and 3x - 2y = 27, then what is the value of x?

a)

-7

b)

-3

c)

3

d)

7

3.

If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?

a)

2

b)

10

c)

22

d)

26

4.

If a + b = 5 and 3a + 2b = 20, then what is 3a + b equal to?

a)

10

b)

15

c)

20

d)

25

5.

Ewa has 20 balls of four colors: yellow, green, blue, and black.

17 of them are not green, 5 are black, and 12 are not yellow.

How many blue balls does Ewa have?

a)

4

b)

6

c)

7

d)

8

6.

The following system of linear equations is given:

x − 2y + z = 10

2x + 2y + 3z = 13

-2x + 5y + z = -7

What is the value of x + y + z?

a)

2

b)

3

c)

4

d)

5

7.

The following system of linear equations is given:

3x + 2y − 4z = 4

-2x + 3y + z = 12

x − 2y + 2z = -10

What is the value of x + y + z?

a)

0

b)

1

c)

2

d)

3

8.

What values of x satisfy the system of equations:

a)

-3 or -2

b)

3 or -2

c)

$-3\ or\ 2\ \frac{1}{3}$

d)

$3\ or\ 2\ \frac{1}{3}$

9.

What values of x satisfy the system of equations:

3x − 4y = 12

y = x² − 16

a)

$-3\ \frac{1}{4}or\ -4$

b)

$-3\ \frac{1}{4}or\ 4$

c)

$3\ \frac{1}{4}or\ -4$

d)

$3\ \frac{1}{4}or\ 4$

10.

Solve this simultaneous equation
x+y = 9

y=-\sqrt{3x+1}

a)

x = 5, y = 4

b)

x = 16, y = -7

c)

x = 5, 16
y = 4, -7

d)

x = 16, 16
y = -7, 7

System of equations

Total questions: 10

Worksheet time: 42mins

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